Organize the divisions of the geologic time scale in order from longest length of time to shortest length of time.

(This logic problem dates back to the eighth century.) A farmer needs to take his goat , wolf, and cabbage across a stream. His boat can hold him and one other passenger (the goat , wolf, or cabbage). If he takes the wolf with him , the goat will eat the cabbage. If he takes the cabbage, the wolf will eat the goat. Only when the farmer is present are the cabbage and goat safe from their respective predators. How does the farmer get everything across the stream?

For a polygon to be convex means that all of its interior angles are less than 180 degrees. Use mathematical induction to prove that for all integers

$$n \geq 3$$

, the angles of any n-sided convex polygon add up to 180(n-2) degrees.

Simplify the complex fraction.

$$\frac { \frac { 3 } { b ^ { 2 } } - \frac { 4 } { b } + 1 } { 1 - \frac { 1 } { b } - \frac { 6 } { b ^ { 2 } } }$$

Mike dove to an elevation of -40 feet, and Julio dove to an elevation of -50 feet. Mike says that because -40 is greater than -50, he dove farther than Julio. Use absolute value to explain Mike's error.

What is a prodigy?

Solve each equation. 4 b-3=17

Choose the best answer. Rhonda earns 5.5% commission when she sells a house. The amount of commission she receives from a sale is $18,700. What is the sale price of the house? A.$1028.50 B. $321,300 C.$340,000 D. $358,700

Solve each system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.

$$\left. \begin{array} { l } { y = \frac { 4 } { 3 } x - 2 } \\ { 3 y - 4 x = - 6 } \end{array} \right.$$

Graph each equation in a rectangular coordinate system. If two functions are indicated, graph both in the same system. Then use your graphs to identify each relation's domain and range.

$$f ( x ) = x ^ { 2 } - 1 , x \geq 0 , \text { and } f ^ { - 1 }$$

The A locus and the D locus are so tightly linked that no recombination is ever observed between them. If Ad/ Ad is crossed with aD/aD and the

$$F_1$$

is intercrossed, what phenotypes will be seen in the

$$F_2$$

and in what proportions?

How many centigrams are there in $6.25 \mathrm{~kg}$ ?

The largest source of anthropogenic greenhouse gases in the United States is ________, followed by ________.

A. electricity generation; agriculture

B. agriculture; transportation

C. electricity generation; industry

D. agriculture; electricity generation

E. electricity generation; transportation

Explain the Kyoto Protocol.